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Finding the Third Proportional to 4,340.75 and 7,132.25

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Solution

The third proportional to 4,340.75 and 7,132.25 is: 11,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.75 : 7,132.25 = 7,132.25 : x
  2. Step 2: Convert to fraction form
    4,340.75/7,132.25 = 7,132.25/x
  3. Step 3: Cross multiply
    4,340.75x = 7,132.25 × 7,132.25
  4. Step 4: Simplify right side
    4,340.75x = 50,868,990.06
  5. Step 5: Solve for x
    x = 50,868,990.06/4,340.75
  6. Step 6: Final answer
    x = 11,718.94

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.